Study of Log Convex Mappings in Fuzzy Aunnam Calculus via Fuzzy Inclusion Relation over Fuzzy-Number Space

In this paper, with the use of newly defined class up and down log-convex fuzzy-number valued mappings, we offer a few new and original mappings defined by applying some mild restrictions over the definition of up and down log-convex fuzzy-number valued mapping. With the use of these mappings, we are able to develop partners of Fejer-type inequalities for up and down log-convexity, which improve upon certain previously established findings. The discussion also includes these mappings' characteristics. Moreover, some nontrivial examples are also provided to prove the validation of our main results.